Search a number
-
+
9680326848 = 2637233197
BaseRepresentation
bin10010000001111111…
…00001000011000000
3220222122020120000000
421000333201003000
5124311130424343
64240323000000
7461613264153
oct110077410300
926878216000
109680326848
114118323925
121a61b09000
13bb36c1c6a
1467b90bc9a
153b9cb4ed3
hex240fe10c0

9680326848 has 448 divisors, whose sum is σ = 31351971840. Its totient is φ = 2956124160.

The previous prime is 9680326823. The next prime is 9680326849. The reversal of 9680326848 is 8486230869.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9680326794 and 9680326803.

It is not an unprimeable number, because it can be changed into a prime (9680326849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99797136 + ... + 99797232.

It is an arithmetic number, because the mean of its divisors is an integer number (69982080).

Almost surely, 29680326848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9680326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675985920).

9680326848 is an abundant number, since it is smaller than the sum of its proper divisors (21671644992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9680326848 is an equidigital number, since it uses as much as digits as its factorization.

9680326848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 9680326848 is about 98388.6520285749. The cubic root of 9680326848 is about 2131.2284601751.

The spelling of 9680326848 in words is "nine billion, six hundred eighty million, three hundred twenty-six thousand, eight hundred forty-eight".